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23142000322300 = 225216311531231357
BaseRepresentation
bin1010100001100001010101…
…01101010110011011111100
310000221100112210101120012011
411100300222231112123330
511013124304040303200
6121115142125221004
74605645225061516
oct520605255263374
9100840483346164
1023142000322300
117412515964682
1227190a9101764
13cbb386c33892
145a01162c2bb6
152a1e9ac245ba
hex150c2ab566fc

23142000322300 has 72 divisors (see below), whose sum is σ = 50570090053616. Its totient is φ = 9192023285760.

The previous prime is 23142000322279. The next prime is 23142000322303. The reversal of 23142000322300 is 322300024132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23142000322303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18178222 + ... + 19409578.

Almost surely, 223142000322300 is an apocalyptic number.

23142000322300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142000322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25285045026808).

23142000322300 is an abundant number, since it is smaller than the sum of its proper divisors (27428089731316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23142000322300 is a wasteful number, since it uses less digits than its factorization.

23142000322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232687 (or 1232680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23142000322300 its reverse (322300024132), we get a palindrome (23464300346432).

The spelling of 23142000322300 in words is "twenty-three trillion, one hundred forty-two billion, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1153 1630 2306 3260 4075 4612 5765 8150 11530 16300 23060 28825 57650 115300 187939 375878 751756 939695 1231357 1879390 2462714 3758780 4698475 4925428 6156785 9396950 12313570 18793900 24627140 30783925 61567850 123135700 200711191 401422382 802844764 1003555955 1419754621 2007111910 2839509242 4014223820 5017779775 5679018484 7098773105 10035559550 14197546210 20071119100 28395092420 35493865525 70987731050 141975462100 231420003223 462840006446 925680012892 1157100016115 2314200032230 4628400064460 5785500080575 11571000161150 23142000322300